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Finding the Third Proportional to 351,342 and 761,688

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Solution

The third proportional to 351,342 and 761,688 is: 1,651,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,342 : 761,688 = 761,688 : x
  2. Step 2: Convert to fraction form
    351,342/761,688 = 761,688/x
  3. Step 3: Cross multiply
    351,342x = 761,688 × 761,688
  4. Step 4: Simplify right side
    351,342x = 580,168,609,344
  5. Step 5: Solve for x
    x = 580,168,609,344/351,342
  6. Step 6: Final answer
    x = 1,651,293.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.